A common theme in Geometry and in many of its applications (in some cases still in a non-deliberate manner) is the embedding, with least distortion, of a given structure/space, in a familiar, larger ambient space. For instance, in classical Geometry and Topology, the this ambient space is usually \(\mathbb {R}^n\) , for some \(n\)  large enough, whereas any metric space is isometrically embeddable in \(l^\infty \) . Also, more recently, embeddings of networks in the Hyperbolic Plane \(\mathbb {H}^2\)  or Space \(\mathbb {H}^3\)  have become quite common (see, e.g. [1]} and the references therein).
